Without imputing disrespect on other schools, I can tell quite easily from this video that MIT has incredible professors. Thank you for open-sourcing your content, it is going a long way to educate the interested among us. My regards, Oswald.
I enjoy listening to Mr. Strang. I wish he would make a statement about the excellent teachers he has experienced. Perhaps he already has. I would venture to guess he has experienced excellent learning inside and outside of MIT. He and others are great inspiration.
I'm just watching because the professors in my university has forgotten to do lectures about these, they are still coming up on the test, gotta do them anyways.
Today in 13min:16 second I learned something about Laplace equation, fourier series and it's application to PDE that I couldn't learn in a whole semester. Thank you MIT.
You are absolutely right Manu. Our Indian education system is fallible, I got the same experience, my college lecturers never taught me that I am learning here on UA-cam from MIT and Stanford open lectures. They are offering the greatest services to mankind.
This video helps with the introduction to partial differential equations. Laplace equation is well known in partial differential equations. Dr. Strang explains the subject very well.
Combined effect of the Laplace equation and applying boundary conditions of wave theory reflects in energy amplification of crazy polynomials of real part and imaginary becomes an exponential function from logarithmic incrementa forming an exponential jump and collapse between a cos theta wave and sine theta waves promoting unimaginable amplification promoting a Psunami effect as boundary condition by merging by symmetry Fourier series.
Great video - but ... it would be helpful to have a discussion of when a solution exists, e.g. for 2-d circles, and when it doesn't, e.g. irregular boundaries. Also, what if time is a variable? What real world problems have solutions, which don't,, etc.
This may give further information of repeated compression and expansion derivatives involved in Laplace equation assisting Fourier series seems to be more informative.
Yes, steady state is the correct terminology here. Systems can exist at a thermodynamically non-equilibrium steady state. E.G. We can fix the boundary temperatures such that there is a permanent heat flux from one boundary to the other, but after infinitely long time, the entire domain asymptotically approaches a fixed temperature gradient. In short, Laplace's Equation can be viewed as the steady state of the equation dU/dt = d^2 U/dx^2 + d^2 U/dy^2 since the time derivative is set to 0.
Psychologically, people generally find handsome young men talking about mathematics more attractive than fragile old professors. Had this video been done by Zach star or grand Sanderson, it would have won way more likes
They've made these sorts of videos since the early 1970s. Search for "OCW Herb Gross" and prepare to be amazed by the intimacy (and weird, black chalk).
A quick search on our site (ocw.mit.edu) shows these courses and materials (not including linear algebra): 2.087, 18.085, 18.086, RES.18-001, RES.18-005, RES.18-009
The instructor is Gilbert Strang. He teaches at both the undergraduate and graduate levels (he's even made a special series for high school students). For more info on Gil, here is his bio page: www-math.mit.edu/~gs/
Without imputing disrespect on other schools, I can tell quite easily from this video that MIT has incredible professors. Thank you for open-sourcing your content, it is going a long way to educate the interested among us. My regards, Oswald.
Oswald Chisala couldnt Agree more!
I enjoy listening to Mr. Strang. I wish he would make a statement about the excellent teachers he has experienced. Perhaps he already has. I would venture to guess he has experienced excellent learning inside and outside of MIT. He and others are great inspiration.
I'm just watching because the professors in my university has forgotten to do lectures about these, they are still coming up on the test, gotta do them anyways.
Couldn't agree more
This man comes from another planet. You are the best teacher .
0:18 When he said I don’t have time, I thought this video was going to be over.
Today in 13min:16 second I learned something about Laplace equation, fourier series and it's application to PDE that I couldn't learn in a whole semester.
Thank you MIT.
Indeed
You are absolutely right Manu. Our Indian education system is fallible, I got the same experience, my college lecturers never taught me that I am learning here on UA-cam from MIT and Stanford open lectures. They are offering the greatest services to mankind.
same here
God bless this man and whoever made this available.
This is how teaching should be done! So clear for once!
I think teaching is done in this way everywhere
@@akhildhatterwal3785 Not really
I have gained much better insight from these videos. Thanks, professor Strang and MIT. I am forever grateful.
This absolutely floored me. It is dazzling in its clarity and simplicity. Unbelievable.
Thanks to MIT, am capturing lectures across the continent in one of the world best universities . Thank you MIT. Thank you USA.
Explaining concepts with such elegance.
If someone asked me to describe a mathematician, It'd be Gilbert for sure.
This video helps with the introduction to partial differential equations. Laplace equation is well known in partial differential equations. Dr. Strang explains the subject very well.
He verifies the quality of his teaching! Fantastic!
Are you form sir
@@ankeshkumaryadav1056 no I am human
I watched this video last semester and I couldn't really understand. Now I watched, I could follow completely! Thank Dr. Strang and MIT!
after listening to prof gilbert in my final year of bachelors I am feeling like mind=blown.
Dr. strang is the best math professor period. Excellent lecture.
Sir, Great Video. The illustration and example of the Laplace Equation were perfectly supported by your explanation. Thanks for uploading!
he's retired yet we're still learning from him
This is a superb lecture, thank you very much. - a pure maths major from Arizona
He is such a great professor!!!!! It makes so sense though his lecture.
I love you prof. Strang! I needed this concept & no context could help me as much as you did!
Thank you for making this available. It is a big help in understanding and explaining this section.
Dr. Strang truly is the GOAT.
Every video starts with 'OKAY!!' :D
Gilbert Strang is the original kungfu master of mathematics. He is not a common textbook reader like the majority.
All the college maths teachers should watch and learn from this video before teaching
Bringing back the cool to maths, one lecture at a time.
Thank you so much. I am so happy right now. Professor, you made this so EASY.
I love this man
Careful, he starts going all "Final Solution" at 6:25.
So accessible!! I wish my profs lectured like this!
lovely teaching method, more power to you Prof. Strang
1:31 , why when u equal x, the second derivatives will be zero 0?
thanks in advance
Does the infinite family of b's provide you with infinite amounts of honey?
Combined effect of the Laplace equation and applying boundary conditions of wave theory reflects in energy amplification of crazy polynomials of real part and imaginary becomes an exponential function from logarithmic incrementa forming an exponential jump and collapse between a cos theta wave and sine theta waves promoting unimaginable amplification promoting a Psunami effect as boundary condition by merging by symmetry Fourier series.
Great video - but ... it would be helpful to have a discussion of when a solution exists, e.g. for 2-d circles, and when it doesn't, e.g. irregular boundaries. Also, what if time is a variable? What real world problems have solutions, which don't,, etc.
Yes Sir , Your Videos was Really Helpful a Lot for 'Sky Wolves' students.... Thank You soooo Much❤❤❤❤
Best professor indeed!
This may give further information of repeated compression and expansion derivatives involved in Laplace equation assisting Fourier series seems to be more informative.
Sorry professor but did you mean to say 'steady-state' at 11:37. I think it won't be equilibrium but the temperature along that line will be zero.
Yes, steady state is the correct terminology here. Systems can exist at a thermodynamically non-equilibrium steady state. E.G. We can fix the boundary temperatures such that there is a permanent heat flux from one boundary to the other, but after infinitely long time, the entire domain asymptotically approaches a fixed temperature gradient. In short, Laplace's Equation can be viewed as the steady state of the equation dU/dt = d^2 U/dx^2 + d^2 U/dy^2 since the time derivative is set to 0.
Flawless explanation. Thank you professor.
I was strugling with the laplacian and real valued functions. And now I suddenly know the basics up to fourier 😂
Excellent video pro.Gilbert and very... thanks for this.
Oh my! I didn't know this was Gilbert Strang.
you are a life saver professor , thank you
Great teacher... 🙏🏻 Huge respect to you sir...
It was kind of satisfying when he changed the cordinate system form Cartesian to polar 😌
The lunar boundary temperature value at the top bottom and inside seems to be surprising by applying Laplace Equation.
Thanks, Professor Gilbert Strang♥
5x + 10y + 15z = x = y = z = zeros. factorization zeros equation. la place equation.
Congratulation Mr Gilbert Strand and thank you for your lesson.
The null space of the Laplacian operator... Thank you!
Splendid! Keep up the fantastic work!
What a GREAT teacher!
Big fan of prof. Strang, from india
Love you oldie! God bless you!!
thank you, perfect and simple explanation
are you student?
The real or imaginary part of a holomorphic function is a solution to Laplace's Equation.
I like the elegance in the (x+iy)^n solution, but the infinite sums with cos and sin seem to get messy.
how so?
please explain us about the mess, how you are going to clean it up???? LOL :)
rip saar, I louve ur veedios
Why not parametrize the boundary in a constrained optimization problem? Or are these things equivalent?
whoa never thought of it that way
Thank you MIT
Sir Please make a vedio on E.T Whittakers 1903 Decomposition of scalar potentials, its much related to laplace equations.
Psychologically, people generally find handsome young men talking about mathematics more attractive than fragile old professors. Had this video been done by Zach star or grand Sanderson, it would have won way more likes
Great teacher!
The infinite me's is the solution to my consciousness.
I can’t believe what I watch!!! So shocked!!,
a great topic given by great a sir
Utterly amazing
God bless you;Prof.
hmm, since when theres videos specifically made for... well, online videos instead of lecture recordings?
They've made these sorts of videos since the early 1970s. Search for "OCW Herb Gross" and prepare to be amazed by the intimacy (and weird, black chalk).
Well done Professor.
انا أشاهد هذا فيدو من الجزائر
Everyone here smart as fuck, while I came looking for laplaces box from The Gundam series...
Very nice lecture.
Can someone give me the links of all the courses taken by Gilbert Strang ?(without the linear algebra course)
A quick search on our site (ocw.mit.edu) shows these courses and materials (not including linear algebra): 2.087, 18.085, 18.086, RES.18-001, RES.18-005, RES.18-009
I also want to know the name of this professor.But my question is that at what level he teaches this peculiar subject of applied mathematics?
The instructor is Gilbert Strang. He teaches at both the undergraduate and graduate levels (he's even made a special series for high school students). For more info on Gil, here is his bio page: www-math.mit.edu/~gs/
Thank you very much indeed.
thank you this this very useful
Studying in fisat mookanur.hope someone sees it in future
Would you say this concept is hard to grasp for a high school student?
Nope, if he or she already knows about partial derivatives, polar coordinates and eulers formula.
Gravitation3Beatles3
Nope. I'm on the same boat and I also looked into Complex Numbers.
Love love love this one😂
math is beautiful
This is helpful ❤️🤍
Gilbert strang is like Dr strange
Absolutely lovely.
concept building thankyou
wow this is beautiful ...
9:16 dont look so closer .....😂😂
i like to see it as the groundwater level in a confined aquifer with steady flow
this is just great
he keeps winking at me
Thanks ❤️🤍
do this ,,,,,evalute the lablacian 7x^2/x^2+y^2+z^2
Beautiful
미쳤따리 미쳤따 교수님의 명강에 balls를 탁 치고 갑니다!
,infinite likes sir
Beautiful 😍
fantastic